Ladder symmetries and Love numbers of Reissner-Nordström black holes

Rai, Mudit; Santoni, Luca

doi:10.1007/jhep07(2024)098

Ladder symmetries and Love numbers of Reissner-Nordström black holes (in EN)

Journal Article · Wed Jul 10 00:00:00 EDT 2024 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep07(2024)098· OSTI ID:2576084

^[1]; ^[2]

Univ. of Pittsburgh, PA (United States); Texas A&M Univ., Kingsville, TX (United States). Mitchell Institute for Fundamental Physics and Astronomy
Centre National de la Recherche Scientifique (CNRS) (France); Université Paris Cité, Paris (France)

It is well known that asymptotically flat black holes in general relativity have vanishing tidal Love numbers. In the case of Schwarzschild and Kerr black holes, this property has been shown to be a consequence of a hidden structure of ladder symmetries for the perturbations. In this work, we extend the ladder symmetries to non-rotating charged black holes in general relativity. As opposed to previous works in this context, we adopt a more general definition of Love numbers, including quadratic operators that mix gravitational and electromagnetic perturbations in the point-particle effective field theory. We show that the calculation of a subset of those couplings in full general relativity is affected by an ambiguity in the split between source and response, which we resolve through an analytic continuation. As a result, we derive a novel master equation that unifies scalar, electromagnetic and gravitational perturbations around Reissner-Nordström black holes. The equation is hypergeometric and can be obtained from previous formulations via nontrivial field redefinitions, which allow to systematically remove some of the singularities and make the presence of the ladder symmetries more manifest.

View Accepted Manuscript (DOE)

Research Organization:: Texas A & M Univ., College Station, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0010813

OSTI ID:: 2576084

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 7 Vol. 2024; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: EN

References (73)

The tune of love and the nature(ness) of spacetime : The tune of love and the Porto, Rafael A. Fortschritte der Physik, Vol. 64, Issue 10 https://doi.org/10.1002/prop.201600064	journal	September 2016
Vacuum polarization and the spontaneous loss of charge by black holes Gibbons, G. W. Communications in Mathematical Physics, Vol. 44, Issue 3 https://doi.org/10.1007/BF01609829	journal	October 1975
Black hole stereotyping: induced gravito-static polarization Kol, Barak; Smolkin, Michael Journal of High Energy Physics, Vol. 2012, Issue 2 https://doi.org/10.1007/JHEP02(2012)010	journal	February 2012
Black hole perturbations of massive and partially massless spin-2 fields in (anti) de Sitter spacetime Rosen, Rachel A.; Santoni, Luca Journal of High Energy Physics, Vol. 2021, Issue 3 https://doi.org/10.1007/JHEP03(2021)139	journal	March 2021
Love numbers and Love symmetries for p-form and gravitational perturbations of higher-dimensional spherically symmetric black holes Charalambous, Panagiotis Journal of High Energy Physics, Vol. 2024, Issue 4 https://doi.org/10.1007/JHEP04(2024)122	journal	April 2024
On the vanishing of Love numbers for Kerr black holes Charalambous, Panagiotis; Dubovsky, Sergei; Ivanov, Mikhail M. Journal of High Energy Physics, Vol. 2021, Issue 5 https://doi.org/10.1007/JHEP05(2021)038	journal	May 2021
Non-conservative effects on spinning black holes from world-line effective field theory Goldberger, Walter D.; Li, Jingping; Rothstein, Ira Z. Journal of High Energy Physics, Vol. 2021, Issue 6 https://doi.org/10.1007/JHEP06(2021)053	journal	June 2021
Eigenvalue repulsions and quasinormal mode spectra of Kerr-Newman: an extended study Dias, Óscar J. C.; Godazgar, Mahdi; Santos, Jorge E. Journal of High Energy Physics, Vol. 2022, Issue 7 https://doi.org/10.1007/JHEP07(2022)076	journal	July 2022
Hidden symmetry of the static response of black holes: applications to Love numbers Achour, Jibril Ben; Livine, Etera R.; Mukohyama, Shinji Journal of High Energy Physics, Vol. 2022, Issue 7 https://doi.org/10.1007/JHEP07(2022)112	journal	July 2022
Scalar Love numbers and Love symmetries of 5-dimensional Myers-Perry black holes Charalambous, Panagiotis; Ivanov, Mikhail M. Journal of High Energy Physics, Vol. 2023, Issue 7 https://doi.org/10.1007/JHEP07(2023)222	journal	July 2023
Near-zone symmetries of Kerr black holes Hui, Lam; Joyce, Austin; Penco, Riccardo Journal of High Energy Physics, Vol. 2022, Issue 9 https://doi.org/10.1007/JHEP09(2022)049	journal	September 2022
Love symmetry Charalambous, Panagiotis; Dubovsky, Sergei; Ivanov, Mikhail M. Journal of High Energy Physics, Vol. 2022, Issue 10 https://doi.org/10.1007/JHEP10(2022)175	journal	October 2022
Irregular Liouville Correlators and Connection Formulae for Heun Functions Bonelli, Giulio; Iossa, Cristoforo; Lichtig, Daniel Panea Communications in Mathematical Physics, Vol. 397, Issue 2 https://doi.org/10.1007/s00220-022-04497-5	journal	November 2022
Progress in effective field theory approach to the binary inspiral problem Rothstein, Ira Z. General Relativity and Gravitation, Vol. 46, Issue 6 https://doi.org/10.1007/s10714-014-1726-y	journal	May 2014
Rational maps as Schwarzian primitives Cui, GuiZhen; Gao, Yan; Rugh, Hans Henrik Science China Mathematics, Vol. 59, Issue 7 https://doi.org/10.1007/s11425-016-5140-7	journal	March 2016
Testing the nature of dark compact objects: a status report Cardoso, Vitor; Pani, Paolo Living Reviews in Relativity, Vol. 22, Issue 1 https://doi.org/10.1007/s41114-019-0020-4	journal	July 2019
Vanishing of nonlinear tidal Love numbers of Schwarzschild black holes Riva, Massimiliano Maria; Santoni, Luca; Savić, Nikola Physics Letters B, Vol. 854 https://doi.org/10.1016/j.physletb.2024.138710	journal	July 2024
The equation of state of hot, dense matter and neutron stars Lattimer, James M.; Prakash, Madappa Physics Reports, Vol. 621 https://doi.org/10.1016/j.physrep.2015.12.005	journal	March 2016
The effective field theorist’s approach to gravitational dynamics Porto, Rafael A. Physics Reports, Vol. 633 https://doi.org/10.1016/j.physrep.2016.04.003	journal	May 2016
Gravitational-wave physics and astronomy in the 2020s and 2030s Bailes, M.; Berger, B. K.; Brady, P. R. Nature Reviews Physics, Vol. 3, Issue 5 https://doi.org/10.1038/s42254-021-00303-8	journal	April 2021
Gravitational Radiation from Slowly Rotating, Fully Relativistic Stars Ipser, James R. The Astrophysical Journal, Vol. 166 https://doi.org/10.1086/150948	journal	May 1971
Solutions of Zerilli's Equation for Even-Parity Gravitational Perturbations Fackerell, Edward D. The Astrophysical Journal, Vol. 166 https://doi.org/10.1086/150949	journal	May 1971
Quasinormal modes of black holes and black branes Berti, Emanuele; Cardoso, Vitor; Starinets, Andrei O. Classical and Quantum Gravity, Vol. 26, Issue 16 https://doi.org/10.1088/0264-9381/26/16/163001	journal	July 2009
Where is Love? Tidal deformability in the black hole compactness limit Chirenti, Cecilia; Posada, Camilo; Guedes, Victor Classical and Quantum Gravity, Vol. 37, Issue 19 https://doi.org/10.1088/1361-6382/abb07a	journal	September 2020
The science case for LIGO-India Saleem, M.; Rana, Javed; Gayathri, V. Classical and Quantum Gravity, Vol. 39, Issue 2 https://doi.org/10.1088/1361-6382/ac3b99	journal	December 2021
Effective field theories of post-Newtonian gravity: a comprehensive review Levi, Michèle Reports on Progress in Physics, Vol. 83, Issue 7 https://doi.org/10.1088/1361-6633/ab12bc	journal	June 2020
Science case for the Einstein telescope Maggiore, Michele; Broeck, Chris Van Den; Bartolo, Nicola Journal of Cosmology and Astroparticle Physics, Vol. 2020, Issue 03 https://doi.org/10.1088/1475-7516/2020/03/050	journal	March 2020
Static response and Love numbers of Schwarzschild black holes Hui, Lam; Joyce, Austin; Penco, Riccardo Journal of Cosmology and Astroparticle Physics, Vol. 2021, Issue 04 https://doi.org/10.1088/1475-7516/2021/04/052	journal	April 2021
Ladder symmetries of black holes. Implications for love numbers and no-hair theorems Hui, Lam; Joyce, Austin; Penco, Riccardo Journal of Cosmology and Astroparticle Physics, Vol. 2022, Issue 01 https://doi.org/10.1088/1475-7516/2022/01/032	journal	January 2022
Ladder symmetries of black holes and de Sitter space: love numbers and quasinormal modes Berens, Roman; Hui, Lam; Sun, Zimo Journal of Cosmology and Astroparticle Physics, Vol. 2023, Issue 06 https://doi.org/10.1088/1475-7516/2023/06/056	journal	June 2023
Testing strong gravity with gravitational waves and Love numbers Franzin, E.; Cardoso, V.; Pani, P. Journal of Physics: Conference Series, Vol. 841 https://doi.org/10.1088/1742-6596/841/1/012035	journal	May 2017
Perturbative connection formulas for Heun equations Lisovyy, O.; Naidiuk, A. Journal of Physics A: Mathematical and Theoretical, Vol. 55, Issue 43 https://doi.org/10.1088/1751-8121/ac9ba7	journal	October 2022
The yielding of the Earth to disturbing forces Love, A. E. H. Monthly Notices of the Royal Astronomical Society, Vol. 69, Issue 6 https://doi.org/10.1093/mnras/69.6.476	journal	April 1909
The Mathematical Theory of Black Holes Chandrasekhar, S. https://doi.org/10.1093/oso/9780198503705.001.0001	book	September 1998
The quasi-normal modes of the Schwarzschild black hole Chandrasekhar, Subrahmanyan; Detweiler, S. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, Vol. 344, Issue 1639, p. 441-452 https://doi.org/10.1098/rspa.1975.0112	journal	August 1975
Stability of a Schwarzschild Singularity Regge, Tullio; Wheeler, John A. Physical Review, Vol. 108, Issue 4 https://doi.org/10.1103/PhysRev.108.1063	journal	November 1957
Using neutron star observations to determine crust thicknesses, moments of inertia, and tidal deformabilities Steiner, A. W.; Gandolfi, S.; Fattoyev, F. J. Physical Review C, Vol. 91, Issue 1 https://doi.org/10.1103/PhysRevC.91.015804	journal	January 2015
Stability of Reissner-Nordström black holes Moncrief, Vincent Physical Review D, Vol. 10, Issue 4 https://doi.org/10.1103/PhysRevD.10.1057	journal	August 1974
Tidal Love numbers of Kerr black holes Le Tiec, Alexandre; Casals, Marc; Franzin, Edgardo Physical Review D, Vol. 103, Issue 8 https://doi.org/10.1103/PhysRevD.103.084021	journal	April 2021
Tidal deformation and dissipation of rotating black holes Chia, Horng Sheng Physical Review D, Vol. 104, Issue 2 https://doi.org/10.1103/PhysRevD.104.024013	journal	July 2021
Love numbers and magnetic susceptibility of charged black holes Pereñiguez, David; Cardoso, Vitor Physical Review D, Vol. 105, Issue 4 https://doi.org/10.1103/PhysRevD.105.044026	journal	February 2022
Exact solution of Kerr black hole perturbations via CFT2 and instanton counting: Greybody factor, quasinormal modes, and Love numbers Bonelli, Giulio; Iossa, Cristoforo; Lichtig, Daniel Panea Physical Review D, Vol. 105, Issue 4 https://doi.org/10.1103/PhysRevD.105.044047	journal	February 2022
Revisiting the matching of black hole tidal responses: A systematic study of relativistic and logarithmic corrections Ivanov, Mikhail M.; Zhou, Zihan Physical Review D, Vol. 107, Issue 8 https://doi.org/10.1103/PhysRevD.107.084030	journal	April 2023
Vanishing Love numbers of black holes in general relativity: From spacetime conformal symmetry of a two-dimensional reduced geometry Katagiri, Takuya; Kimura, Masashi; Nakano, Hiroyuki Physical Review D, Vol. 107, Issue 12 https://doi.org/10.1103/PhysRevD.107.124030	journal	June 2023
Love numbers for rotating black holes in higher dimensions Rodriguez, Maria J.; Santoni, Luca; Solomon, Adam R. Physical Review D, Vol. 108, Issue 8 https://doi.org/10.1103/PhysRevD.108.084011	journal	October 2023
Black hole perturbations and electric-magnetic duality Pereñiguez, David Physical Review D, Vol. 108, Issue 8 https://doi.org/10.1103/PhysRevD.108.084046	journal	October 2023
Nuclear physics constraints from binary neutron star mergers in the Einstein Telescope era Iacovelli, Francesco; Mancarella, Michele; Mondal, Chiranjib Physical Review D, Vol. 108, Issue 12 https://doi.org/10.1103/PhysRevD.108.122006	journal	December 2023
Gauge-invariant perturbations of Reissner-Nordström black holes Moncrief, Vincent Physical Review D, Vol. 12, Issue 6 https://doi.org/10.1103/PhysRevD.12.1526	journal	September 1975
Tidal coupling of a Schwarzschild black hole and circularly orbiting moon Fang, Hua; Lovelace, Geoffrey Physical Review D, Vol. 72, Issue 12 https://doi.org/10.1103/PhysRevD.72.124016	journal	December 2005
Effective field theory of gravity for extended objects Goldberger, Walter D.; Rothstein, Ira Z. Physical Review D, Vol. 73, Issue 10 https://doi.org/10.1103/PhysRevD.73.104029	journal	May 2006
Dissipative effects in the worldline approach to black hole dynamics Goldberger, Walter D.; Rothstein, Ira Z. Physical Review D, Vol. 73, Issue 10 https://doi.org/10.1103/PhysRevD.73.104030	journal	May 2006
Constraining neutron-star tidal Love numbers with gravitational-wave detectors Flanagan, Éanna É.; Hinderer, Tanja Physical Review D, Vol. 77, Issue 2 https://doi.org/10.1103/PhysRevD.77.021502	journal	January 2008
Relativistic theory of tidal Love numbers Binnington, Taylor; Poisson, Eric Physical Review D, Vol. 80, Issue 8 https://doi.org/10.1103/PhysRevD.80.084018	journal	October 2009
Relativistic tidal properties of neutron stars Damour, Thibault; Nagar, Alessandro Physical Review D, Vol. 80, Issue 8 https://doi.org/10.1103/PhysRevD.80.084035	journal	October 2009
Gravitational radiative corrections from effective field theory Goldberger, Walter D.; Ross, Andreas Physical Review D, Vol. 81, Issue 12 https://doi.org/10.1103/PhysRevD.81.124015	journal	June 2010
Post-1-Newtonian tidal effects in the gravitational waveform from binary inspirals Vines, Justin; Flanagan, Éanna É.; Hinderer, Tanja Physical Review D, Vol. 83, Issue 8 https://doi.org/10.1103/PhysRevD.83.084051	journal	April 2011
Effective action approach to higher-order relativistic tidal interactions in binary systems and their effective one body description Bini, Donato; Damour, Thibault; Faye, Guillaume Physical Review D, Vol. 85, Issue 12 https://doi.org/10.1103/PhysRevD.85.124034	journal	June 2012
Partially massless gravitons do not destroy general relativity black holes Brito, Richard; Cardoso, Vitor; Pani, Paolo Physical Review D, Vol. 87, Issue 12 https://doi.org/10.1103/PhysRevD.87.124024	journal	June 2013
Scalar, electromagnetic, and gravitational perturbations of Kerr-Newman black holes in the slow-rotation limit Pani, Paolo; Berti, Emanuele; Gualtieri, Leonardo Physical Review D, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevD.88.064048	journal	September 2013
Odd-parity stability of a Reissner-Nordström black hole Moncrief, Vincent Physical Review D, Vol. 9, Issue 10 https://doi.org/10.1103/PhysRevD.9.2707	journal	May 1974
Perturbation analysis for gravitational and electromagnetic radiation in a Reissner-Nordström geometry Zerilli, Frank J. Physical Review D, Vol. 9, Issue 4 https://doi.org/10.1103/PhysRevD.9.860	journal	February 1974
Publisher’s Note: Testing strong-field gravity with tidal Love numbers [Phys. Rev. D 95 , 084014 (2017)] Cardoso, Vitor; Franzin, Edgardo; Maselli, Andrea Physical Review D, Vol. 95, Issue 8 https://doi.org/10.1103/PhysRevD.95.089901	journal	April 2017
Darboux transformation in black hole perturbation theory Glampedakis, Kostas; Johnson, Aaron D.; Kennefick, Daniel Physical Review D, Vol. 96, Issue 2 https://doi.org/10.1103/PhysRevD.96.024036	journal	July 2017
Gravitoelectromagnetic Perturbations of Kerr-Newman Black Holes: Stability and Isospectrality in the Slow-Rotation Limit Pani, Paolo; Berti, Emanuele; Gualtieri, Leonardo Physical Review Letters, Vol. 110, Issue 24 https://doi.org/10.1103/PhysRevLett.110.241103	journal	June 2013
No-Hair Theorem for Black Holes in Astrophysical Environments Gürlebeck, Norman Physical Review Letters, Vol. 114, Issue 15 https://doi.org/10.1103/PhysRevLett.114.151102	journal	April 2015
Spinning Black Holes Fall in Love Le Tiec, Alexandre; Casals, Marc Physical Review Letters, Vol. 126, Issue 13 https://doi.org/10.1103/PhysRevLett.126.131102	journal	March 2021
Hidden Symmetry of Vanishing Love Numbers Charalambous, Panagiotis; Dubovsky, Sergei; Ivanov, Mikhail M. Physical Review Letters, Vol. 127, Issue 10 https://doi.org/10.1103/PhysRevLett.127.101101	journal	September 2021
Vanishing of Black Hole Tidal Love Numbers from Scattering Amplitudes Ivanov, Mikhail M.; Zhou, Zihan Physical Review Letters, Vol. 130, Issue 9 https://doi.org/10.1103/PhysRevLett.130.091403	journal	March 2023
Effective Potential for Even-Parity Regge-Wheeler Gravitational Perturbation Equations Zerilli, Frank J. Physical Review Letters, Vol. 24, Issue 13 https://doi.org/10.1103/PhysRevLett.24.737	journal	March 1970
Love in extrema ratio Pani, Paolo; Maselli, Andrea International Journal of Modern Physics D, Vol. 28, Issue 14 https://doi.org/10.1142/S0218271819440012	journal	October 2019
A Master Equation for Gravitational Perturbations of Maximally Symmetric Black Holes in Higher Dimensions Kodama, H.; Ishibashi, A. Progress of Theoretical Physics, Vol. 110, Issue 4 https://doi.org/10.1143/PTP.110.701	journal	October 2003
Stability of Higher-Dimensional Schwarzschild Black Holes Ishibashi, A.; Kodama, H. Progress of Theoretical Physics, Vol. 110, Issue 5 https://doi.org/10.1143/PTP.110.901	journal	November 2003
Off-Shell Duality Invariance of Schwarzschild Perturbation Theory Solomon, Adam R. Particles, Vol. 6, Issue 4 https://doi.org/10.3390/particles6040061	journal	November 2023

Similar Records

Asymptotic Reissner–Nordström black holes

Journal Article · Sat Jun 15 00:00:00 EDT 2013 · Annals of Physics (New York) · OSTI ID:22220736

Static response and Love numbers of Schwarzschild black holes

Journal Article · Sun Apr 18 20:00:00 EDT 2021 · Journal of Cosmology and Astroparticle Physics · OSTI ID:1906911

Equivalence principle in Reissner–Nordström geometry

Journal Article · Sun Nov 14 23:00:00 EST 2021 · Annals of Physics · OSTI ID:23183207

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Differential Equations
General Relativity
Gravitational Physics
Mathematical Methods in Physics
Physics
Special Functions
Special Relativity

Ladder symmetries and Love numbers of Reissner-Nordström black holes (in EN)

Citation Formats

References (73)

Similar Records

Related Subjects